Respuesta :

Answer: y=x+15

Step-by-step explanation:

Given

the line passes through (5,20) and (6,21)

Equation of line using the two-point form is

[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Putting values we get

[tex]\Rightarrow \dfrac{y-20}{x-5}=\dfrac{21-20}{6-5}\\\\\Rightarrow y-20=(x-5)\times 1\\\\\Rightarrow y=x+15[/tex]